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Finding the Fourth Proportional to 442,000.96, 662,432.76 and 384,840.98

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Solution

The fourth proportional to 442,000.96, 662,432.76 and 384,840.98 is: 576,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,000.96 : 662,432.76 = 384,840.98 : x
  2. Step 2: Convert to fraction form
    442,000.96/662,432.76 = 384,840.98/x
  3. Step 3: Cross multiply
    442,000.96x = 662,432.76 × 384,840.98
  4. Step 4: Simplify right side
    442,000.96x = 254,931,272,542.51
  5. Step 5: Solve for x
    x = 254,931,272,542.51/442,000.96
  6. Step 6: Final answer
    x = 576,766.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.